9,252,089

7 × 11 × 120157

Starting at 9,252,089, the Collatz iteration reaches 1 after 137 steps. The first transition is 27756268; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 120157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,535,168

Proper Divisor Sum 2,283,079

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9252079 ← → #9252143

Radix Representation

Decimal	9252089
Binary	100011010010110011111001 (24 bits)
Octal	0o43226371
Hexadecimal	0x8D2CF9

Divisor Catalog (8)

1 7 11 77 120,157 841,099 1,321,727 9,252,089

Collatz Trajectory (137 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,252,089 27,756,268 13,878,134 6,939,067 20,817,202 10,408,601 31,225,804 15,612,902 7,806,451 23,419,354 11,709,677 35,129,032 17,564,516 8,782,258 4,391,129 13,173,388 6,586,694 3,293,347 9,880,042 4,940,021 14,820,064 7,410,032 3,705,016 1,852,508 926,254 463,127 1,389,382 694,691 2,084,074 1,042,037 3,126,112 1,563,056 781,528 390,764 195,382 97,691 293,074 146,537 439,612 219,806 109,903 329,710 164,855 494,566 247,283 741,850 370,925 1,112,776 556,388 278,194 139,097 417,292 208,646 104,323 312,970 156,485 469,456 234,728 117,364 58,682

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